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Finding the Fourth Proportional to 212,628.54, 318,943.26 and 199,637.76

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Solution

The fourth proportional to 212,628.54, 318,943.26 and 199,637.76 is: 299,457.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,628.54 : 318,943.26 = 199,637.76 : x
  2. Step 2: Convert to fraction form
    212,628.54/318,943.26 = 199,637.76/x
  3. Step 3: Cross multiply
    212,628.54x = 318,943.26 × 199,637.76
  4. Step 4: Simplify right side
    212,628.54x = 63,673,117,993.50
  5. Step 5: Solve for x
    x = 63,673,117,993.50/212,628.54
  6. Step 6: Final answer
    x = 299,457.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.